4364688160 has 96 divisors (see below), whose sum is σ = 11917342080. Its totient is φ = 1479616512.

The previous prime is 4364688101. The next prime is 4364688161. The reversal of 4364688160 is 618864634.

It is a self number, because there is not a number n which added to its sum of digits gives 4364688160.

It is not an unprimeable number, because it can be changed into a prime (4364688161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77787 + ... + 121573.

It is an arithmetic number, because the mean of its divisors is an integer number (124138980).

Almost surely, 2^4364688160 is an apocalyptic number.

4364688160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4364688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958671040).

4364688160 is an abundant number, since it is smaller than the sum of its proper divisors (7552653920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4364688160 is a wasteful number, since it uses less digits than its factorization.

4364688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43898 (or 43890 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 4364688160 is about 66065.7866069874. The cubic root of 4364688160 is about 1634.2471646873.

The spelling of 4364688160 in words is "four billion, three hundred sixty-four million, six hundred eighty-eight thousand, one hundred sixty".